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Description and Solution of an Unreported Intrinsic Bias in Photon Mapping Density Estimation with Constant Kernel
Author(s) -
García R.,
Ureña C.,
Sbert M.
Publication year - 2012
Publication title -
computer graphics forum
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.578
H-Index - 120
eISSN - 1467-8659
pISSN - 0167-7055
DOI - 10.1111/j.1467-8659.2011.02081.x
Subject(s) - estimator , constant (computer programming) , kernel (algebra) , kernel density estimation , mathematics , computer science , irradiance , algorithm , statistics , optics , physics , discrete mathematics , programming language
This paper presents an analysis of the irradiance estimator often used in photon mapping algorithms and concludes that the classical approach with a constant kernel overestimates the correct value. We propose a new estimator that solves this problem and provide both theoretical and empirical studies to verify it.